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Finding the Third Proportional to 442,798,274,530.17 and 661,295,793,642.52

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Solution

The third proportional to 442,798,274,530.17 and 661,295,793,642.52 is: 987,610,277,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,798,274,530.17 : 661,295,793,642.52 = 661,295,793,642.52 : x
  2. Step 2: Convert to fraction form
    442,798,274,530.17/661,295,793,642.52 = 661,295,793,642.52/x
  3. Step 3: Cross multiply
    442,798,274,530.17x = 661,295,793,642.52 × 661,295,793,642.52
  4. Step 4: Simplify right side
    442,798,274,530.17x = 437,312,126,689,290,397,679,616
  5. Step 5: Solve for x
    x = 437,312,126,689,290,397,679,616/442,798,274,530.17
  6. Step 6: Final answer
    x = 987,610,277,283.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.